221331001001220 has 144 divisors (see below), whose sum is σ = 733371917398848. Its totient is φ = 53585120090880.

The previous prime is 221331001001207. The next prime is 221331001001233. The reversal of 221331001001220 is 22100100133122.

221331001001220 is a `hidden beast` number, since 22 + 13 + 310 + 0 + 100 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (221331001001207) and next prime (221331001001233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221331001001193 and 221331001001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72334254 + ... + 75331973.

It is an arithmetic number, because the mean of its divisors is an integer number (5092860537492).

Almost surely, 2^{221331001001220} is an apocalyptic number.

221331001001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221331001001220 is an abundant number, since it is smaller than the sum of its proper divisors (512040916397628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221331001001220 is a wasteful number, since it uses less digits than its factorization.

221331001001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147667010 (or 147667005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221331001001220 its reverse (22100100133122), we get a palindrome (243431101134342).

The spelling of 221331001001220 in words is "two hundred twenty-one trillion, three hundred thirty-one billion, one million, one thousand, two hundred twenty".